Answer:
The maximum side length of the shed = 9.42 ft
Step-by-step explanation:
From the given information:
Miss bell decorates her gazebo with coloured lights who base is a circle with diameter 12 feet. The first find the circumference of the gazebo by using the circumference of a circle since the base takes such shape.
Circumference of a circle = πd
Circumference of a circle = π × 12
Circumference of a circle = 37.699
Then; the circumference of the circle equates to the length of the lights.
However, using the same length, the maximum side length of the garden shed whose base took a square form can be determined by using the perimeter of a square as the square length, which is;
P = 4L
where;
L = length of sides
37.699 = 4L
L = 37.699/4
L = 9.42 ft
Thus, the maximum side length of the shed = 9.42 ft
